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Finding the Fourth Proportional to 1,571.91, 2,169.52 and 1,074.37

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Solution

The fourth proportional to 1,571.91, 2,169.52 and 1,074.37 is: 1,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.91 : 2,169.52 = 1,074.37 : x
  2. Step 2: Convert to fraction form
    1,571.91/2,169.52 = 1,074.37/x
  3. Step 3: Cross multiply
    1,571.91x = 2,169.52 × 1,074.37
  4. Step 4: Simplify right side
    1,571.91x = 2,330,867.20
  5. Step 5: Solve for x
    x = 2,330,867.20/1,571.91
  6. Step 6: Final answer
    x = 1,482.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.